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The recent BICEP2 result shows that the Universe once has gone through thevacuum with the GUT scale energy density. The implied high scale inflationnullifies the dilution idea of topological defects, strings and domain walls,of the axionic system. In particular, domain walls are disastrous if the domainwall problem with domain-wall number greater than 1 is present. We argue thatthe model-independent axion in string compactification with the anomalous U(1)gauge symmetry resolves the domain wall problem naturally with a symmetryprinciple.

High scale inflation, model-independent string axion, and QCD axion with domain wall number one